8 to the Power of 2 — 8² = 64

8 to the power of 2 (8²) equals 64. This means 8 x 8 = 64. Result has 2 digits, prime factorisation 2 x 2 x 2 x 2 x 2 x 2....

8² = ?

8 TO THE POWER OF 2

64

8² = 8 × 8 = 64

Value

64

Base

8

Exponent

2

Number of digits

2

Digit sum

10

Even or odd?

Even

Divisible by 10?

No

Perfect square?

Yes ✓

STEP-BY-STEP

1

8² means multiply 8 by itself 2 times

2

8

8 × 8 = 64

3

8² = 64

PRIME FACTORISATION

64 = 2 × 2 × 2 × 2 × 2 × 2

= 8² (all factors are 8)

SAME VALUE — OTHER BASES

2⁶ = 64

4³ = 64

FUN FACT

64 equals 4 cubed and 2 to the 6. Chessboard squares.

POWERS OF 8 (1 → 2)

8¹
8
8²
64

ALL POWERS OF 8 (1–10)

EXPONENT LAWS

8² × 8= 8³ = 512
8² × 8²= 8⁴ = 4,096
8² ÷ 8= 8¹ = 8
√(8²)= 8¹ = 8 (exact)
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HOW TO CALCULATE

  1. 1

    8² means multiply 8 by itself 2 times.

  2. 2

    Multiplication chain: 8 x 8 = 64.

  3. 3

    The result is 64 - 2 digits, prime factorisation: 2 x 2 x 2 x 2 x 2 x 2.

  4. 4

    Check: 8¹ x 8 = 8 x 8 = 64.

WORKED EXAMPLE

8² = 8 x 8 = 64. Digits: 2. Prime factors: 2 x 2 x 2 x 2 x 2 x 2. Also: 2⁶ = 64, 4³ = 64.

FREQUENTLY ASKED QUESTIONS

OTHER BASES TO THE POWER OF 2

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Last updated: April 28, 2026 · Verified by EagleCalculator team · Eagle-eyed accuracy for every calculation.